algebra
posted by algebra on .
Given a right triangle whose side lengths are integral multiples of 7, how many units are in the smallest possible perimeter

The smallest possible perimeter is obtained when we have the smallest possible sides.
But the sides are supposed to be multiples of 7
So they have to be 7 and 14
Hypotenuse^2 = 7^2 + 14^2
Hypotenuse = √245
so smallest possible perimter = 7+14+√245
= 21 + √245 
21 + [(square root of 5) x 7]